12529 (v.2) Systems Theory and Control 302
Area: |
Department of Mathematics and Statistics |
Credits: |
25.0 |
Contact Hours: |
4.0 |
| ** The tuition pattern below provides details of the types of classes and their duration. This is to be used as a guide only. For more precise information please check your unit outline. ** | |
Lecture: |
3 x 1 Hours Weekly |
Tutorial: |
1 x 1 Hours Weekly |
Prerequisite(s): |
8127 (v.6) Advanced Calculus 201 or any previous version AND 8128 (v.6) Linear Algebra 202 or any previous version |
Syllabus: |
Introduction to the state space description of continuous time dynamical systems, equilibrium points, limit cycles, phase plane analysis of second order systems, general stability concepts for autonomous systems. Lyapunov stability theory (first and second methods of Lyapunov, linearisation, invariant sets, Lyapunov equation for linear systems), variable gradient method, stability of systems arising from population dynamics, introduction to control systems (open loop and feedback control, linear systems,controllability, observability, non-linear systems), optimal control problems (general canonical form, examples), optimality conditions (Euler-Lagrange equations, Pontryagin minimum principle), singular control, time optimal control, Hamilton-Jacobi-Bellman equation and application to linear quadratic regulator problems, optimal parameter selection problems, gradient derivation, control parametrisation, MISER3 and conversion of non-standard problems into canonical form. |
| ** To ensure that the most up-to-date information about unit references, texts and outcomes appears, they will be provided in your unit outline prior to commencement. ** | |
Field of Education: | 010101 Mathematics |
Funding Cluster: | 04 - Mathematics, Statistics |
SOLT (Online) Definitions*: | Not Online *Extent to which this unit or thesis utilises online information |
Result Type: | Grade/Mark |
Availability |
|
| Availability Information has not been provided by the respective School or Area. Prospective students should contact the School or Area listed above for further information. | |
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Content Last Modified: October 31, 2005
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